Skip to main content
SpringerLink
Log in

Starlike and convex type probability distribution

  • Published:
Afrika Matematika Aims and scope Submit manuscript

Abstract

The purpose of the present paper is to investigate Starlike and Convex type discrete probability distribution and obtain some results regarding moments, factorial moments, mean, variance and moment generating function for these distributions.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Ahmad, M.S., Mehmood, Q., Nazeer, W., Haq, A.U.: An application of a hypergeometric distribution series on certain analytic functions. Sci. Int. (Lahore) 27(4), 2989–2992 (2015)

    Google Scholar 

  2. Altınkaya, S., Yalçın, S.: Poisson distribution series for analytic univalent functions. Complex Anal. Oper. Theory 12(5), 1315–1319 (2018)

    Article  MathSciNet  Google Scholar 

  3. Bajpai, D..: A study of univalent functions associated with distribution series and \(q\)-calculus. M.Phil. Dissertation, CSJM University, Kanpur, India (2016)

  4. Duren, P.L.: Univalent Functions, Grundleherem der Mathematischen Wissenchaften 259. Springer, New York (1983)

    Google Scholar 

  5. Gupta, S.C., Kapoor, V.K.: Fundamental of Mathematical Statistics. Sultan Chand and Sons, New Delhi (2006)

    Google Scholar 

  6. Murugusundaramoorthy, G., Vijaya, K., Porwal, S.: Some inclusion results of certain subclass of analytic functions associated with Poisson distribution series. Hacet. J. Math. Stat. 45(4), 1101–1107 (2016)

    MathSciNet  MATH  Google Scholar 

  7. Nazeer, W., Mehmood, Q., Kang, S.M., Haq, A.U.: An application of Binomial distribution series on certain analytic functions. J. Comput. Anal. Appl. 26, 11–17 (2019)

    MathSciNet  Google Scholar 

  8. Porwal, S.: An application of a Poisson distribution series on certain analytic functions. J. Complex Anal. 2014, 1–3 (2014). (Art. ID 984135)

    Article  MathSciNet  Google Scholar 

  9. Porwal, S.: An application of certain convolution operator involving Poisson distribution series. Asian Eur. J. Math. 9(4), 8 (2016). (1650085)

    Article  MathSciNet  Google Scholar 

  10. Porwal, S.: Generalized distribution and its geometric properties associated with univalent functions. J. Complex Anal., 1–5 (2018) (Art. ID 8654506)

    Article  MathSciNet  Google Scholar 

  11. Porwal, S., Ahmad, D: An application of hypergeometric distribution type series on certain analytic functions. Thai. J. Math. (2019) (Art. in Press)

  12. Porwal, S., Kumar, M.: A unified study on starlike and convex functions associated with Poisson distribution series. Afr. Mat. 27(5–6), 1021–1027 (2016)

    Article  MathSciNet  Google Scholar 

  13. Porwal, S., Kumar, S.: Confluent hypergeometric distribution and its applications on certain classes of univalent functions. Afr. Mat. 28, 1–8 (2017)

    Article  MathSciNet  Google Scholar 

  14. Robertson, M.S.: On the theory of univalent functions. Ann. Math. 37, 374–408 (1936)

    Article  MathSciNet  Google Scholar 

  15. Silverman, H.: Univalent functions with negative coefficients. Proc. Am. Math. Soc. 51, 109–116 (1975)

    Article  MathSciNet  Google Scholar 

Download references

Acknowledgements

The author is thankful to the referee for his/her valuable comments and observations which helped in improving the paper.

Author information

Authors and Affiliations

  1. Lecturer Mathematics, Sri Radhey Lal Arya Inter College, Aihan, Hathras, UP, 204101, India

    Saurabh Porwal

Authors
  1. Saurabh Porwal
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Saurabh Porwal.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Porwal, S. Starlike and convex type probability distribution. Afr. Mat. 30, 1049–1066 (2019). https://doi.org/10.1007/s13370-019-00702-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s13370-019-00702-2

Keywords

Mathematics Subject Classification

Search

Navigation